Talk:Nemytskii operator

In the section of the Boundless Theorem it may be added, that there exists a more general form where one concludes from $|f(x,u)|\leq C|u|^{r}+g(x)$ , $c>0$ , $r>0$ that the Nemytskii operator $F$ is a bounded and continuous map from $L^{p}$ to $L^{\frac {p}{r}}$ .